Let's firstly consider the number of ways in which you can pick two people from 23 people: 23C2
Now, how many ways can we choose 2 Republicans? Well, we have 7 Republicans and we want to choose 2 of them: 7C2
Therefore, P(2 Republicans) = [tex]\frac{^{7}C_2}{^{23}C_2}[/tex]
Correct me if I'm wrong, haven't done permutations and combinations in a while.
